Chapter: Unit 1

1. |
## The sum of deviations of observations from their arithmetic mean: |

A. | Maximum |

B. | Least |

C. | Zero |

D. | None of these |

Answer» C. Zero |

2. |
## The sum of absolute deviations is minimum when taken from: |

A. | Mean |

B. | Median |

C. | Mode |

D. | None of these |

Answer» B. Median |

3. |
## The sum of squared deviations is minimum when taken from: |

A. | Mean |

B. | Median |

C. | Mode |

D. | None of these |

Answer» A. Mean |

4. |
## What is the median of 33, 86, 68, 32, 80, 48, 70? |

A. | 32 |

B. | 68 |

C. | 80 |

D. | 86 |

Answer» B. 68 | |

Explanation: To find the median of a set of numbers, you first need to order the numbers in ascending or descending order. {32, 33, 48, 68, 70, 80, 86} The median is the middle value when a data set has an odd number of observations. The middle value of 7 numbers is the 4th one, which is 68. So, the median of this set is 68. |

5. |
## In a moderately skewed distribution, the value of mean is 16 and that of mode is 25. |

A. | 20 |

B. | 19 |

C. | 21 |

D. | None of these |

Answer» B. 19 |

6. |
## In a moderately skewed distribution, the following equation indicates the relationship among mean, median and mode: |

A. | Mean = 2 Mode - 3 Median |

B. | Mode = 3 Median – 2 Mean |

C. | Median = 3 Mean – 2 Mode |

D. | None of these |

Answer» B. Mode = 3 Median – 2 Mean |

7. |
## For a symmetrical distribution, Q1 and Q3 are 20 and 60 respectively. The value of median will be: |

A. | 20 |

B. | 30 |

C. | 40 |

D. | 50 |

Answer» C. 40 |

8. |
## The variate values which divide a series into ten equal parts are called: |

A. | Quartiles |

B. | Deciles |

C. | Percentiles |

D. | None of these |

Answer» B. Deciles |

9. |
## From which average, the sum of deviations is zero? |

A. | Mean |

B. | Median |

C. | Mode |

D. | None of these |

Answer» A. Mean |

10. |
## The average to be used to determine the average size of the shoe sold in a shop is: |

A. | Mean |

B. | Median |

C. | Mode |

D. | None of these |

Answer» C. Mode |

11. |
## Find the Mode of 5, 3, 27, 5, 9, 3, 8, 5: |

A. | 5 |

B. | 27 |

C. | 9 |

D. | 3 |

Answer» A. 5 |

12. |
## In a moderately asymmetrical distribution, the value of mean is 75 and the value of mode is 60: |

A. | 75 |

B. | 70 |

C. | 85 |

D. | 80 |

Answer» B. 70 |

13. |
## Given Mean = 70.2 and mode = 70.5. Find the median using empirical relationship among them. |

A. | 120 |

B. | 150 |

C. | 180 |

D. | 300 |

Answer» B. 150 |

14. |
## In a moderately skewed distribution, the value of mode is 120 and that of median is 140. Find the value of arithmetic mean. |

A. | 150 |

B. | 160 |

C. | 170 |

D. | 180 |

Answer» A. 150 |

15. |
## The arithmetic mean of the marks obtained by 50 students was calculated as 44. It was later discovered that a score of 36 was misread as 56. Find the correct value of arithmetic mean of the marks obtained by the students. |

A. | 43 |

B. | 43.6 |

C. | 45 |

D. | 50 |

Answer» B. 43.6 |

16. |
## The marks obtained by 9 students in a test are 25, 20, 15, 45, 18, 7, 10, 38 and 12. Find the median. |

A. | 38 |

B. | 20 |

C. | 18 |

D. | 15 |

Answer» C. 18 |

17. |
## In a moderately asymmetrical distribution, the mode and mean are 32.1 and 35.4 respectively. Calculate the median. |

A. | 35 |

B. | 34.3 |

C. | 36 |

D. | 37 |

Answer» B. 34.3 |

18. |
## In a moderately skewed distribution, the mode and median are 20 and 24 respectively. Calculate the value of mean. |

A. | 27 |

B. | 26 |

C. | 25 |

D. | 28 |

Answer» B. 26 |

19. |
## The mean weight of 150 students in a class is 60 Kg. The mean weight of Boy students is 70 Kg and that of a girl students is 55 kg. Find the number of Boys and Girls in the class. |

A. | 50 and 100 |

B. | 100 and 50 |

C. | 150 and 200 |

D. | 200 and 150 |

Answer» A. 50 and 100 |

20. |
## A distribution consists of three components with total frequencies of 200, 250 and 300 having means 25, 10 and 15 respectively. Find the mean of the combined distribution. |

A. | 17 |

B. | 16 |

C. | 15 |

D. | 20 |

Answer» B. 16 |

21. |
## The arithmetic mean is 12 and the number of observations are 20 then the sum of all the values is |

A. | 8 |

B. | 32 |

C. | 240 |

D. | 1.667 |

Answer» C. 240 |

22. |
## The method used to compute average or central value of the collected data is considered as |

A. | measures of positive variation |

B. | measures of central tendency |

C. | measures of negative skewness |

D. | measures of negative variation |

Answer» B. measures of central tendency |

23. |
## The mean or average used to measure central tendency is called |

A. | sample mean |

B. | arithmetic mean |

C. | negative mean |

D. | population mean |

Answer» B. arithmetic mean |

24. |
## If the mean of percentages, rates and ratios is to be calculated then the central tendency measure which must be used in this situation is |

A. | weighted arithmetic mean |

B. | paired arithmetic mean |

C. | non-paired arithmetic mean |

D. | square of arithmetic mean |

Answer» A. weighted arithmetic mean |

25. |
## In the quartiles, the central tendency median to be measured must lie in |

A. | first quartile |

B. | second quartile |

C. | third quartile |

D. | four quartile |

Answer» B. second quartile |

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